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11355333312 = 263237136217
BaseRepresentation
bin10101001001101010…
…01010001011000000
31002022101001200220110
422210311022023000
5141223431131222
65114440111320
7551252512011
oct124465121300
932271050813
1011355333312
1148a7875a94
12224aa65540
1310bc72a24b
1479a169008
15466d7d30c
hex2a4d4a2c0

11355333312 has 112 divisors (see below), whose sum is σ = 31793029632. Its totient is φ = 3569448960.

The previous prime is 11355333307. The next prime is 11355333349. The reversal of 11355333312 is 21333355311.

It is a self number, because there is not a number n which added to its sum of digits gives 11355333312.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 295428 + ... + 331644.

It is an arithmetic number, because the mean of its divisors is an integer number (283866336).

Almost surely, 211355333312 is an apocalyptic number.

11355333312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11355333312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15896514816).

11355333312 is an abundant number, since it is smaller than the sum of its proper divisors (20437696320).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11355333312 is a wasteful number, since it uses less digits than its factorization.

11355333312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36326 (or 36316 counting only the distinct ones).

The product of its digits is 12150, while the sum is 30.

Adding to 11355333312 its reverse (21333355311), we get a palindrome (32688688623).

The spelling of 11355333312 in words is "eleven billion, three hundred fifty-five million, three hundred thirty-three thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 64 69 71 92 96 138 142 184 192 213 276 284 368 426 552 568 736 852 1104 1136 1472 1633 1704 2208 2272 3266 3408 4416 4544 4899 6532 6816 9798 13064 13632 19596 26128 36217 39192 52256 72434 78384 104512 108651 144868 156768 217302 289736 313536 434604 579472 832991 869208 1158944 1665982 1738416 2317888 2498973 2571407 3331964 3476832 4997946 5142814 6663928 6953664 7714221 9995892 10285628 13327856 15428442 19991784 20571256 26655712 30856884 39983568 41142512 53311424 59142361 61713768 79967136 82285024 118284722 123427536 159934272 164570048 177427083 236569444 246855072 354854166 473138888 493710144 709708332 946277776 1419416664 1892555552 2838833328 3785111104 5677666656 11355333312